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Data privacy concerns often prevent the use of cloud-based machine learning services for sensitive personal data. While homomorphic encryption (HE) offers a potential solution by enabling computations on encrypted data, the challenge is to…

Cryptography and Security · Computer Science 2021-03-08 Kanthi Sarpatwar , Karthik Nandakumar , Nalini Ratha , James Rayfield , Karthikeyan Shanmugam , Sharath Pankanti , Roman Vaculin

Large language models (LLMs) provide powerful means to leverage prior knowledge for predictive modeling when data is limited. In this work, we demonstrate how LLMs can use their compressed world knowledge to generate intrinsically…

Decision trees and randomized forests are widely used in computer vision and machine learning. Standard algorithms for decision tree induction optimize the split functions one node at a time according to some splitting criteria. This greedy…

Machine Learning · Computer Science 2015-11-13 Mohammad Norouzi , Maxwell D. Collins , Matthew Johnson , David J. Fleet , Pushmeet Kohli

We study the relationship between various one-way communication complexity measures of a composed function with the analogous decision tree complexity of the outer function. We consider two gadgets: the AND function on 2 inputs, and the…

Computational Complexity · Computer Science 2022-01-19 Nikhil S. Mande , Swagato Sanyal , Suhail Sherif

As machine learning as a service continues gaining popularity, concerns about privacy and intellectual property arise. Users often hesitate to disclose their private information to obtain a service, while service providers aim to protect…

Cryptography and Security · Computer Science 2023-09-14 Rasoul Akhavan Mahdavi , Haoyan Ni , Dimitry Linkov , Florian Kerschbaum

Decision trees (DTs) embody interpretable classifiers. DTs have been advocated for deployment in high-risk applications, but also for explaining other complex classifiers. Nevertheless, recent work has demonstrated that predictions in DTs…

Artificial Intelligence · Computer Science 2022-05-20 Yacine Izza , Alexey Ignatiev , Nina Narodytska , Martin C. Cooper , Joao Marques-Silva

There are many approaches for training decision trees. This work introduces a novel gradient-based method for constructing decision trees that optimize arbitrary differentiable loss functions, overcoming the limitations of heuristic…

Machine Learning · Computer Science 2025-03-25 Andrei V. Konstantinov , Lev V. Utkin

When model predictions inform downstream decision making, a natural question is under what conditions can the decision-makers simply respond to the predictions as if they were the true outcomes. Calibration suffices to guarantee that simple…

Machine Learning · Computer Science 2025-04-23 Jingwu Tang , Jiayun Wu , Zhiwei Steven Wu , Jiahao Zhang

Sensitivity, block sensitivity and certificate complexity are basic complexity measures of Boolean functions. The famous sensitivity conjecture claims that sensitivity is polynomially related to block sensitivity. However, it has been…

Computational Complexity · Computer Science 2015-06-09 Andris Ambainis , Krišjānis Prūsis , Jevgēnijs Vihrovs

We study the $\textit{average-case deterministic query complexity}$ of boolean functions under a $\textit{uniform input distribution}$, denoted by $\mathrm{D}_\mathrm{ave}(f)$, the minimum average depth of zero-error decision trees that…

Computational Complexity · Computer Science 2025-06-12 Yuan Li , Haowei Wu , Yi Yang

Cost-sensitive feature selection describes a feature selection problem, where features raise individual costs for inclusion in a model. These costs allow to incorporate disfavored aspects of features, e.g. failure rates of as measuring…

Machine Learning · Statistics 2020-08-18 Rudolf Jagdhuber , Michel Lang , Jörg Rahnenführer

Decision trees are a fundamental tool in machine learning for representing, classifying, and generalizing data. It is desirable to construct ``small'' decision trees, by minimizing either the \textit{size} ($s$) or the \textit{depth} $(d)$…

Machine Learning · Computer Science 2025-05-22 Harmender Gahlawat , Meirav Zehavi

$\newcommand{\EC}{\mathsf{EC}}\newcommand{\KW}{\mathsf{KW}}\newcommand{\DT}{\mathsf{DT}}\newcommand{\psens}{\mathsf{psens}} \newcommand{\calB}{{\cal B}} $ For a Boolean function $f:\{0,1\}^n \to \{0,1\}$ computed by a circuit $C$ over a…

Computational Complexity · Computer Science 2020-09-17 Krishnamoorthy Dinesh , Samir Otiv , Jayalal Sarma

Dynamic regression trees are an attractive option for automatic regression and classification with complicated response surfaces in on-line application settings. We create a sequential tree model whose state changes in time with the…

Methodology · Statistics 2010-11-23 Matthew A. Taddy , Robert B. Gramacy , Nicholas G. Polson

Sparse decision trees are one of the most common forms of interpretable models. While recent advances have produced algorithms that fully optimize sparse decision trees for prediction, that work does not address policy design, because the…

Machine Learning · Computer Science 2022-10-27 Ali Behrouz , Mathias Lecuyer , Cynthia Rudin , Margo Seltzer

This paper proposes FREEtree, a tree-based method for high dimensional longitudinal data with correlated features. Popular machine learning approaches, like Random Forests, commonly used for variable selection do not perform well when there…

Machine Learning · Statistics 2020-06-18 Yuancheng Xu , Athanasse Zafirov , R. Michael Alvarez , Dan Kojis , Min Tan , Christina M. Ramirez

A desirable property of interpretable models is small size, so that they are easily understandable by humans. This leads to the following challenges: (a) small sizes typically imply diminished accuracy, and (b) bespoke levers provided by…

Machine Learning · Computer Science 2024-08-26 Abhishek Ghose , Balaraman Ravindran

Boolean functions are important primitives in different domains of cryptology, complexity and coding theory. In this paper, we connect the tools from cryptology and complexity theory in the domain of Boolean functions with low polynomial…

Computational Complexity · Computer Science 2021-07-26 Subhamoy Maitra , Chandra Sekhar Mukherjee , Pantelimon Stanica , Deng Tang

Recent work has shown that the input-output behavior of some machine learning systems can be captured symbolically using Boolean expressions or tractable Boolean circuits, which facilitates reasoning about the behavior of these systems.…

Artificial Intelligence · Computer Science 2020-07-06 Arthur Choi , Andy Shih , Anchal Goyanka , Adnan Darwiche

Understanding the query complexity for testing linear-invariant properties has been a central open problem in the study of algebraic property testing. Triangle-freeness in Boolean functions is a simple property whose testing complexity is…

Computational Complexity · Computer Science 2013-08-08 Hu Fu , Robert Kleinberg
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